How many molecules are in a 100 gram sample of AB?
A=3.2
B=16.0
X=5.3
the options to put in the drop boxes are:
3.01 x 10^23 molecules AB
6.02 x 10^23 molecules AB
3.13 x 10^24 molecules AB
100 g AB
19.2 g AB
1 mole AB
1 mole AB
19.2 moles AB
there are 6 drop boxes to place in
__ x __ x __ = __
molecules AB
3.2 g A
16.0 g B
5.3 g X
3.13 x 10^24
To determine the number of molecules in a 100 gram sample of AB, we need to use the concept of moles and Avogadro's number.
First, we need to calculate the number of moles of AB. To do this, we divide the mass of AB by the molar mass of AB.
The molar mass of AB can be calculated by adding the atomic masses of A and B:
Molar mass of AB = (A atomic mass) + (B atomic mass) = 3.2 + 16.0 = 19.2 g/mol.
Next, we calculate the number of moles of AB:
Moles of AB = Mass of AB / Molar mass of AB = 100 g / 19.2 g/mol.
Now, we have the number of moles of AB. To determine the number of molecules, we use Avogadro's number, which is 6.02 x 10^23 molecules per mole.
Finally, we calculate the number of molecules of AB:
Number of molecules of AB = Moles of AB x Avogadro's number.
Now, let's fill in the drop boxes with the correct options:
__ x __ x __ = __
1. Moles of AB = 100 g AB / 19.2 g/mol = 5.21 moles AB (rounded to 2 decimal places).
__ x __ x 5.21 moles AB = __
2. Number of molecules of AB = 5.21 moles AB x 6.02 x 10^23 molecules/mole = 3.13 x 10^24 molecules AB.
Therefore, the correct options to fill in the drop boxes are:
3.01 x 10^23 molecules AB
6.02 x 10^23 molecules AB
3.13 x 10^24 molecules AB
100 g AB
19.2 g AB
1 mole AB
19.2 moles AB
To determine the number of molecules in a 100 gram sample of AB, we need to use the concept of moles and Avogadro's number.
First, we calculate the number of moles of AB in the sample using the formula:
moles = mass / molar mass
The molar mass of AB can be calculated by adding the molar masses of A and B:
molar mass of AB = (molar mass of A) + (molar mass of B)
Given:
A = 3.2 g/mol
B = 16.0 g/mol
molar mass of AB = 3.2 g/mol + 16.0 g/mol
Next, we can substitute the given values into the formula:
moles = 100 g / (3.2 g/mol + 16.0 g/mol)
The moles of AB can be converted to the number of molecules using Avogadro's number.
Avogadro's number is defined as 6.02 x 10^23 molecules per mole.
Finally, to determine the number of molecules in the 100 gram sample of AB, the equation would be:
number of molecules = moles of AB × Avogadro's number
Now, let's fill in the drop boxes:
__ x __ x __ = __
First, we need to calculate the molar mass of AB. We'll use the given values:
3.2 g/mol + 16.0 g/mol = 19.2 g/mol
Now, we'll use the formula to calculate the moles of AB:
100 g / 19.2 g/mol = 5.208 moles AB (rounded to three decimal places)
Lastly, we'll calculate the number of molecules:
5.208 moles AB × 6.02 x 10^23 molecules/mole = 3.13 x 10^24 molecules AB
Therefore, the filled drop boxes are:
__ x __ x __ = 3.13 x 10^24 molecules AB